Google Analytics

Require Google analytics person to give me a solution and how to set up analytics for as particluar requirement of mine.

I will optimize an internal url on one of my websites for say two specific keyphrases...lets say 'cheap car insurance' and 'low cost car insurance'

I then want to track and see how many visitors i get to that page through natural search engine traffic (not ppc or referrals)..just people who come to the sites because i have ranked for those keyphrses and they have found the site and clicked on to it and then how many filled out a 'request a quotation' form on the site

So basically It will tell me how many visits came from the keyphrase through natural search and how many of the keyphrase visits actually converted into filling in a form.

ps obviosuly if i optmize for cheap car insurance for example, and someone keys in 'car insurance cheap' and my site appears, can analytics still track the fact that i got a visitor even though the words are in a different order...i have seen keywords in analytics but unsure what they mean